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Finding the Third Proportional to 414,578 and 878,977

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Solution

The third proportional to 414,578 and 878,977 is: 1,863,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,578 : 878,977 = 878,977 : x
  2. Step 2: Convert to fraction form
    414,578/878,977 = 878,977/x
  3. Step 3: Cross multiply
    414,578x = 878,977 × 878,977
  4. Step 4: Simplify right side
    414,578x = 772,600,566,529
  5. Step 5: Solve for x
    x = 772,600,566,529/414,578
  6. Step 6: Final answer
    x = 1,863,583.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.